Problem 20P

Find the potential difference required to accelerate protons from rest to 10% of the speed of light. (At this point, relativistic effects start to become significant.)

Solution 20 P:

Step 1 of 2:-

Here we have to find the potential difference required to accelerate the protons at a speed of 10% of the speed of light.

We know that, the electric potential energy can be written as,

------------(1)

The speed of light is,

.

The required speed is,

The initial electric potential energy will be converted into the final kinetic energy.

So, from conservation of energy,